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lbvjy [14]
3 years ago
12

Find the 26th term in the arithmetic sequence: 20, 26, 32, 38, ...

Mathematics
1 answer:
Dafna11 [192]3 years ago
3 0

Answer:

170

Step-by-step explanation:

20 + (26 - 1)6

= 20 + (25)6

= 20 + 150

= 170

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Identify the terms and like terms in the expression - x - 9x*2 + 12x*2 + 7
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The expression - x - 9x^2 + 12x^2 + 7 has 4 terms:
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Like terms are:
-9x^2, 12x^2
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4.80952380952 in fraction form
vladimir2022 [97]

Answer:

77/16

Step-by-step explanation:

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9/100, let me know if this helps.
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Read 2 more answers
Use these functions to answer the questions.
Elenna [48]
Part A
We have f\left(x\right)=\left(x+3\right)^2-1. To solve for the x-intercept, we set f(x) equal to 0.  That is
     \left(x+3\right)^2-1=0

     \left(x+3\right)^2=1

Take the square root of both sides, 
     x+3=1

     x=-2

The x-intercept is (-2,0). 

To solve for the y-intercept, we set x=0. That is 
     y=\left(0+3\right)^2-1=3^2-1=9-1=8

The y-intercept is (0, 8) 

The coordinates of the optimum point are actually the vertex which can be easily seen from the vertex form equation given above. The minimum point is (-3, -1).

Part B.
We have g\left(x\right)=-2x^2+8x+3.
Factor out -2
     =-2\left(x^2-4x\right)+3

Complete the square
     =-2\left(x^2-4x+4\right)+3-2\left(4\right)

Simplify
     g(x)=-2\left(x-2\right)^2-5

Part C
We have h\left(t\right)=-16t^2+28t.
The maximum height is 12.25 feet after 0.875 seconds from the time of the jump. The dolphin will be back in the water after 1.75 seconds. The graph of the jump is shown in the photo. 
     
    

4 0
3 years ago
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